Question

A survey showed that 14% of all Catholic people in the US attend church every weekend. Tou survey 829 random Catholic people in the US. What is the approximate probability that at MOST 126 of the US Catholics surveyed attend church every weekend?

Answer 1

To find the approximate probability that at most 126 of the US Catholics surveyed attend church every weekend, we can use the normal approximation to the binomial distribution.

Step-by-step explanation:

To find the approximate probability that at most 126 of the US Catholics surveyed attend church every weekend, we can use the normal approximation to the binomial distribution.

First, we need to calculate the mean and standard deviation of the binomial distribution.

The mean is given by:

Mean (μ) = n * p

where n is the number of trials (829) and p is the probability of success (14% or 0.14).

The standard deviation is given by:

Standard Deviation (σ) = √(n * p * (1 - p))

Once we have the mean and standard deviation, we can use the normal distribution to find the probability.